Thus, we obtained an effective (long-wavelength) NC field theory that consistently reproduces the Son's theory in the commutative limit. The introduced formalism and NC setup can be used to systematically generate corrections in small parameter \(\theta \) .
The achieved NC descriptions need further understanding and analysis especially concerning the questions of regularization and scaling of gauge fields [1]}, [2]}, [3]}. At first glance, it seems that our approach does not have the scaling problem.
